Least Common Multiple of 413/950, 871/401, 403/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 413/950, 871/401, 403/323 quickly i.e. 11151413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 413/950, 871/401, 403/323 is 11151413.

LCM(413/950, 871/401, 403/323) = 11151413

LCM of 413/950, 871/401, 403/323

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 413/950,871/401,403/323

Given numbers are 413/950,871/401,403/323

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 413,871,403

Least Common Multiple of Numerators i.e. LCM of 413,871,403 is 11151413.

GCF of Denominators means GCF of 950,401,323 as per the given fractions.

GCF of 950,401,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 413,871,403

LCM of Fractions 413/950,871/401,403/323 is 11151413

13 413, 871, 403
413, 67, 31

∴ So the LCM of the given numbers is 13 x 413 x 67 x 31 = 11151413

Least Common Multiple of 413,871,403 with GCF Formula

Least Common Multiple of 413,871,403 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 413,871,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,871,403) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(413,871,403) x common factors =1 x 13 = 13

LCM(413,871,403) = ( 413 × 871 × 403 ) / 13

LCM(413,871,403) = 144968369 / 13

LCM(413,871,403) = 11151413


Lets's calculate GCF of 950,401,323

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11151413/1

Therefore the LCM of Fractions 413/950,871/401,403/323 is 11151413

Greatest Common Factor of 950,401,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,401,323 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 950,401,323 . The biggest common factor number is the GCF number.
So the greatest common factor 950,401,323 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 413/950, 871/401, 403/323

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 413/950, 871/401, 403/323?

Answer: LCM of Numerators as per given numbers 413/950, 871/401, 403/323 is

LCM of Numerators i.e. for 413,871,403 is 11151413

GCF of denominators i.e. for 950,401,323 is 1.

Thus, LCM of Fractions is 11151413.Finally, LCM of Fractions for 413/950, 871/401, 403/323 is 11151413.